ARTICLE:

• THE METHOD OF LINES SOLUTION OF TIME-DEPENDENT 2-D NAVIER-STOKES EQUATIONS COUPLED WITH ENERGY EQUATION  download article

Olcay Oymak
Chemical Engineering Department, Middle East Technical University, 06531 Ankara, Turkey

Nevin Selcuck
Chemical Engineering Department, Middle East Technical University, 06531 Ankara, Turkey

ABSTRACT

In this paper a novel code developed previously for the numerical simulation of transient axisymmetric flow in a pipe with sudden expansion and validated for the prediction of developing transient flow in a pipe, was modified to incorporate the scalar transport equation for energy. The code is based on the method of lines (MOL) solution of time-dependent two-dimensional incompressible Navier-Stokes equations with i) an intelligent higher-order spatial discretization scheme, which chooses biased-upwind or biased-downwind discretization stencil in a zone-of-dependence manner when flow reversal occurs, and ii) a parabolic algorithm which removes the necessity of iterative solution on pressure and solution of a Poisson-type equation for the pressure. The modified code was applied to the prediction of time-development of flow and temperature fields of a suddenly started laminar flow in a pipe with sudden expansion with hot wall at constant temperature. Predictions were found to show the expected trends for both unsteady and steady states.

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